sophia123623 sophia123623
  • 18-03-2022
  • Mathematics
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Solve for x. Leave your answer in simplest radical form.

Solve for x Leave your answer in simplest radical form class=

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username309482428094 username309482428094
  • 18-03-2022

Answer:[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Use pytha. theorem on leftmost triangle and get sqrt(13)

Use it again on the other triangle: 13+b^2=25

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Aisin
Aisin Aisin
  • 18-03-2022

First, we find the hypotenuse of the first triangle

(Use the pythagorean theorem) :
[tex]3^{2} + 2^{2} = 9 + 4 = 13[/tex]

So, the length of the side = [tex]\sqrt{13}[/tex]

Now, we find x :

x(squared) =
[tex]5^{2} -\sqrt{13} ^{2}[/tex] = 25 - 13 = 12

-> x = [tex]\sqrt{12}[/tex] = 2[tex]\sqrt{3}[/tex]

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